is 2 3398683 - 1
has 1023106 decimal digits
takes 0.357 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBB91F8B90EB6B51Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26817.537667.6471 %11328942134440001.93418.2986 %19.471870.3319 %
Target2641.047365.6250 %1900016000000.01601.8191 %1.063366.2503 %
Difference+4+16.4904+2.0221 %+1113894+211844000+1.9181+6.4795%+18.4085+4.0816 %

Known prime factors (1 factor, 65.2 bits, 0.00191883% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3398683428172317682320891212065.2156299091702320
24 × 5 × 2797 × 28151107
2014-11-192797281511072.14660.23400.4363

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-11Carsten Kossendeymother15000206250--0.0041.499%
2011-10-25USAFSSP4_2600600009450006--0.0163.108%
2012-12-10Squeeky_SquirrelP4_2600230000672750012--0.0895.758%
2021-03-14JossManual testing33986837385516---5.335%
2022-01-09JossManual testing1132894111642300
skipped known factor: 42817231768232089121
--1.14110.542%
2022-09-05JossManual testing1132894213444000
skipped known factor: 42817231768232089121
--2.02511.445%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-03-25S485122USB-Z2602610.045
2022-04-24LordJuliusManual testing21262
2011-08-23Grant McCrackenhome2612620.090
2022-04-24LordJuliusManual testing262263
2012-11-02lycornManual testing2622640.867
2022-04-24LordJuliusManual testing263264
2013-09-04David CampeauManual testing2642651.099
2022-04-24LordJuliusManual testing264265
2022-04-24LordJuliusManual testing266267
2021-07-09JossManual testing267268


ECM factoring results:
Total ECM effort:1.179 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
10.440
50000500000060.739


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12Stephen Woodv4_computersBB91F8B90EB6B51B0.357


PRP results:
dateuseridcompidcofactorsres64
2017-11-05Oliver KruseGTX-3
42817231768232089121
1A248EF27A9E9C98
2017-12-16kkmrkkblmbrbkc4.xlarge
42817231768232089121
1A248EF27A9E9C98


CERT results:
No CERT results for M3398683


P-1 factor-bounds graph:
B1 = 1132894, B2 = 213444000 (P-1 stage 2)
B1 = 1132894, B2 = 111642300 (P-1 stage 2)
B1 = 1132894 (P-1 stage 1)
B1 = 230000, B2 = 6727500 (P-1 stage 2)
B1 = 339868, B2 = 3738551 (P-1 stage 2)
B1 = 339868 (P-1 stage 1)
B1 = 230000 (P-1 stage 1)
B1 = 60000, B2 = 945000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
265
264
263
262
261
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00